Question

2 find the slope of the line that passes through the two points below: (4, -2) and (2, -5) m =

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify coordinates

Let \((x_1, y_1)=(4, -2)\) and \((x_2, y_2)=(2, -5)\).

Step3: Substitute into formula

Substitute values: \( m=\frac{-5 - (-2)}{2 - 4}=\frac{-5 + 2}{-2}=\frac{-3}{-2}=\frac{3}{2} \).

Answer:

\(\frac{3}{2}\)